What is the Greatest Common Factor of 89461 and 89472?

Greatest common factor (GCF) of 89461 and 89472 is 1.

GCF(89461,89472) = 1

We will now calculate the prime factors of 89461 and 89472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89461 and 89472.

How to find the GCF of 89461 and 89472?

We will first find the prime factorization of 89461 and 89472. After we will calculate the factors of 89461 and 89472 and find the biggest common factor number .

Step-1: Prime Factorization of 89461

Prime factors of 89461 are 137, 653. Prime factorization of 89461 in exponential form is:

89461 = 137¹ × 653¹

Step-2: Prime Factorization of 89472

Prime factors of 89472 are 2, 3, 233. Prime factorization of 89472 in exponential form is:

89472 = 2⁷ × 3¹ × 233¹

Step-3: Factors of 89461

List of positive integer factors of 89461 that divides 89461 without a remainder.

1, 137, 653

Step-4: Factors of 89472

List of positive integer factors of 89472 that divides 89461 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 233, 384, 466, 699, 932, 1398, 1864, 2796, 3728, 5592, 7456, 11184, 14912, 22368, 29824, 44736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89461 and 89472. The biggest common factor number is the GCF number.
So the greatest common factor 89461 and 89472 is 1.

Also check out the Least Common Multiple of 89461 and 89472