What is the Greatest Common Factor of 58688 and 58692?

Greatest common factor (GCF) of 58688 and 58692 is 4.

GCF(58688,58692) = 4

We will now calculate the prime factors of 58688 and 58692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58688 and 58692.

How to find the GCF of 58688 and 58692?

We will first find the prime factorization of 58688 and 58692. After we will calculate the factors of 58688 and 58692 and find the biggest common factor number .

Step-1: Prime Factorization of 58688

Prime factors of 58688 are 2, 7, 131. Prime factorization of 58688 in exponential form is:

58688 = 2⁶ × 7¹ × 131¹

Step-2: Prime Factorization of 58692

Prime factors of 58692 are 2, 3, 67, 73. Prime factorization of 58692 in exponential form is:

58692 = 2² × 3¹ × 67¹ × 73¹

Step-3: Factors of 58688

List of positive integer factors of 58688 that divides 58688 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 131, 224, 262, 448, 524, 917, 1048, 1834, 2096, 3668, 4192, 7336, 8384, 14672, 29344

Step-4: Factors of 58692

List of positive integer factors of 58692 that divides 58688 without a remainder.

1, 2, 3, 4, 6, 12, 67, 73, 134, 146, 201, 219, 268, 292, 402, 438, 804, 876, 4891, 9782, 14673, 19564, 29346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58688 and 58692. The biggest common factor number is the GCF number.
So the greatest common factor 58688 and 58692 is 4.

Also check out the Least Common Multiple of 58688 and 58692