What is the Greatest Common Factor of 89252 and 89264?

Greatest common factor (GCF) of 89252 and 89264 is 4.

GCF(89252,89264) = 4

We will now calculate the prime factors of 89252 and 89264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89252 and 89264.

How to find the GCF of 89252 and 89264?

We will first find the prime factorization of 89252 and 89264. After we will calculate the factors of 89252 and 89264 and find the biggest common factor number .

Step-1: Prime Factorization of 89252

Prime factors of 89252 are 2, 53, 421. Prime factorization of 89252 in exponential form is:

89252 = 2² × 53¹ × 421¹

Step-2: Prime Factorization of 89264

Prime factors of 89264 are 2, 7, 797. Prime factorization of 89264 in exponential form is:

89264 = 2⁴ × 7¹ × 797¹

Step-3: Factors of 89252

List of positive integer factors of 89252 that divides 89252 without a remainder.

1, 2, 4, 53, 106, 212, 421, 842, 1684, 22313, 44626

Step-4: Factors of 89264

List of positive integer factors of 89264 that divides 89252 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 797, 1594, 3188, 5579, 6376, 11158, 12752, 22316, 44632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89252 and 89264. The biggest common factor number is the GCF number.
So the greatest common factor 89252 and 89264 is 4.

Also check out the Least Common Multiple of 89252 and 89264