What is the Greatest Common Factor of 89488 and 89502?

Greatest common factor (GCF) of 89488 and 89502 is 14.

GCF(89488,89502) = 14

We will now calculate the prime factors of 89488 and 89502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89488 and 89502.

How to find the GCF of 89488 and 89502?

We will first find the prime factorization of 89488 and 89502. After we will calculate the factors of 89488 and 89502 and find the biggest common factor number .

Step-1: Prime Factorization of 89488

Prime factors of 89488 are 2, 7, 17, 47. Prime factorization of 89488 in exponential form is:

89488 = 2⁴ × 7¹ × 17¹ × 47¹

Step-2: Prime Factorization of 89502

Prime factors of 89502 are 2, 3, 7, 2131. Prime factorization of 89502 in exponential form is:

89502 = 2¹ × 3¹ × 7¹ × 2131¹

Step-3: Factors of 89488

List of positive integer factors of 89488 that divides 89488 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 47, 56, 68, 94, 112, 119, 136, 188, 238, 272, 329, 376, 476, 658, 752, 799, 952, 1316, 1598, 1904, 2632, 3196, 5264, 5593, 6392, 11186, 12784, 22372, 44744

Step-4: Factors of 89502

List of positive integer factors of 89502 that divides 89488 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2131, 4262, 6393, 12786, 14917, 29834, 44751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89488 and 89502. The biggest common factor number is the GCF number.
So the greatest common factor 89488 and 89502 is 14.

Also check out the Least Common Multiple of 89488 and 89502