What is the Greatest Common Factor of 74451 and 74464?

Greatest common factor (GCF) of 74451 and 74464 is 13.

GCF(74451,74464) = 13

We will now calculate the prime factors of 74451 and 74464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74451 and 74464.

How to find the GCF of 74451 and 74464?

We will first find the prime factorization of 74451 and 74464. After we will calculate the factors of 74451 and 74464 and find the biggest common factor number .

Step-1: Prime Factorization of 74451

Prime factors of 74451 are 3, 13, 23, 83. Prime factorization of 74451 in exponential form is:

74451 = 3¹ × 13¹ × 23¹ × 83¹

Step-2: Prime Factorization of 74464

Prime factors of 74464 are 2, 13, 179. Prime factorization of 74464 in exponential form is:

74464 = 2⁵ × 13¹ × 179¹

Step-3: Factors of 74451

List of positive integer factors of 74451 that divides 74451 without a remainder.

1, 3, 13, 23, 39, 69, 83, 249, 299, 897, 1079, 1909, 3237, 5727, 24817

Step-4: Factors of 74464

List of positive integer factors of 74464 that divides 74451 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 179, 208, 358, 416, 716, 1432, 2327, 2864, 4654, 5728, 9308, 18616, 37232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74451 and 74464. The biggest common factor number is the GCF number.
So the greatest common factor 74451 and 74464 is 13.

Also check out the Least Common Multiple of 74451 and 74464