What is the Greatest Common Factor of 74565 and 74576?

Greatest common factor (GCF) of 74565 and 74576 is 1.

GCF(74565,74576) = 1

We will now calculate the prime factors of 74565 and 74576, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74565 and 74576.

How to find the GCF of 74565 and 74576?

We will first find the prime factorization of 74565 and 74576. After we will calculate the factors of 74565 and 74576 and find the biggest common factor number .

Step-1: Prime Factorization of 74565

Prime factors of 74565 are 3, 5, 1657. Prime factorization of 74565 in exponential form is:

74565 = 3² × 5¹ × 1657¹

Step-2: Prime Factorization of 74576

Prime factors of 74576 are 2, 59, 79. Prime factorization of 74576 in exponential form is:

74576 = 2⁴ × 59¹ × 79¹

Step-3: Factors of 74565

List of positive integer factors of 74565 that divides 74565 without a remainder.

1, 3, 5, 9, 15, 45, 1657, 4971, 8285, 14913, 24855

Step-4: Factors of 74576

List of positive integer factors of 74576 that divides 74565 without a remainder.

1, 2, 4, 8, 16, 59, 79, 118, 158, 236, 316, 472, 632, 944, 1264, 4661, 9322, 18644, 37288

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74565 and 74576. The biggest common factor number is the GCF number.
So the greatest common factor 74565 and 74576 is 1.

Also check out the Least Common Multiple of 74565 and 74576