What is the Greatest Common Factor of 92560 and 92568?

Greatest common factor (GCF) of 92560 and 92568 is 8.

GCF(92560,92568) = 8

We will now calculate the prime factors of 92560 and 92568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92560 and 92568.

How to find the GCF of 92560 and 92568?

We will first find the prime factorization of 92560 and 92568. After we will calculate the factors of 92560 and 92568 and find the biggest common factor number .

Step-1: Prime Factorization of 92560

Prime factors of 92560 are 2, 5, 13, 89. Prime factorization of 92560 in exponential form is:

92560 = 2⁴ × 5¹ × 13¹ × 89¹

Step-2: Prime Factorization of 92568

Prime factors of 92568 are 2, 3, 7, 19, 29. Prime factorization of 92568 in exponential form is:

92568 = 2³ × 3¹ × 7¹ × 19¹ × 29¹

Step-3: Factors of 92560

List of positive integer factors of 92560 that divides 92560 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 89, 104, 130, 178, 208, 260, 356, 445, 520, 712, 890, 1040, 1157, 1424, 1780, 2314, 3560, 4628, 5785, 7120, 9256, 11570, 18512, 23140, 46280

Step-4: Factors of 92568

List of positive integer factors of 92568 that divides 92560 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 29, 38, 42, 56, 57, 58, 76, 84, 87, 114, 116, 133, 152, 168, 174, 203, 228, 232, 266, 348, 399, 406, 456, 532, 551, 609, 696, 798, 812, 1064, 1102, 1218, 1596, 1624, 1653, 2204, 2436, 3192, 3306, 3857, 4408, 4872, 6612, 7714, 11571, 13224, 15428, 23142, 30856, 46284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92560 and 92568. The biggest common factor number is the GCF number.
So the greatest common factor 92560 and 92568 is 8.

Also check out the Least Common Multiple of 92560 and 92568