What is the Greatest Common Factor of 89552 and 89562?

Greatest common factor (GCF) of 89552 and 89562 is 2.

GCF(89552,89562) = 2

We will now calculate the prime factors of 89552 and 89562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89552 and 89562.

How to find the GCF of 89552 and 89562?

We will first find the prime factorization of 89552 and 89562. After we will calculate the factors of 89552 and 89562 and find the biggest common factor number .

Step-1: Prime Factorization of 89552

Prime factors of 89552 are 2, 29, 193. Prime factorization of 89552 in exponential form is:

89552 = 2⁴ × 29¹ × 193¹

Step-2: Prime Factorization of 89562

Prime factors of 89562 are 2, 3, 11, 23, 59. Prime factorization of 89562 in exponential form is:

89562 = 2¹ × 3¹ × 11¹ × 23¹ × 59¹

Step-3: Factors of 89552

List of positive integer factors of 89552 that divides 89552 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 193, 232, 386, 464, 772, 1544, 3088, 5597, 11194, 22388, 44776

Step-4: Factors of 89562

List of positive integer factors of 89562 that divides 89552 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 46, 59, 66, 69, 118, 138, 177, 253, 354, 506, 649, 759, 1298, 1357, 1518, 1947, 2714, 3894, 4071, 8142, 14927, 29854, 44781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89552 and 89562. The biggest common factor number is the GCF number.
So the greatest common factor 89552 and 89562 is 2.

Also check out the Least Common Multiple of 89552 and 89562