What is the Greatest Common Factor of 89698 and 89712?

Greatest common factor (GCF) of 89698 and 89712 is 14.

GCF(89698,89712) = 14

We will now calculate the prime factors of 89698 and 89712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89698 and 89712.

How to find the GCF of 89698 and 89712?

We will first find the prime factorization of 89698 and 89712. After we will calculate the factors of 89698 and 89712 and find the biggest common factor number .

Step-1: Prime Factorization of 89698

Prime factors of 89698 are 2, 7, 43, 149. Prime factorization of 89698 in exponential form is:

89698 = 2¹ × 7¹ × 43¹ × 149¹

Step-2: Prime Factorization of 89712

Prime factors of 89712 are 2, 3, 7, 89. Prime factorization of 89712 in exponential form is:

89712 = 2⁴ × 3² × 7¹ × 89¹

Step-3: Factors of 89698

List of positive integer factors of 89698 that divides 89698 without a remainder.

1, 2, 7, 14, 43, 86, 149, 298, 301, 602, 1043, 2086, 6407, 12814, 44849

Step-4: Factors of 89712

List of positive integer factors of 89712 that divides 89698 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 89, 112, 126, 144, 168, 178, 252, 267, 336, 356, 504, 534, 623, 712, 801, 1008, 1068, 1246, 1424, 1602, 1869, 2136, 2492, 3204, 3738, 4272, 4984, 5607, 6408, 7476, 9968, 11214, 12816, 14952, 22428, 29904, 44856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89698 and 89712. The biggest common factor number is the GCF number.
So the greatest common factor 89698 and 89712 is 14.

Also check out the Least Common Multiple of 89698 and 89712