What is the Greatest Common Factor of 74776 and 74780?

Greatest common factor (GCF) of 74776 and 74780 is 4.

GCF(74776,74780) = 4

We will now calculate the prime factors of 74776 and 74780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74776 and 74780.

How to find the GCF of 74776 and 74780?

We will first find the prime factorization of 74776 and 74780. After we will calculate the factors of 74776 and 74780 and find the biggest common factor number .

Step-1: Prime Factorization of 74776

Prime factors of 74776 are 2, 13, 719. Prime factorization of 74776 in exponential form is:

74776 = 2³ × 13¹ × 719¹

Step-2: Prime Factorization of 74780

Prime factors of 74780 are 2, 5, 3739. Prime factorization of 74780 in exponential form is:

74780 = 2² × 5¹ × 3739¹

Step-3: Factors of 74776

List of positive integer factors of 74776 that divides 74776 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 719, 1438, 2876, 5752, 9347, 18694, 37388

Step-4: Factors of 74780

List of positive integer factors of 74780 that divides 74776 without a remainder.

1, 2, 4, 5, 10, 20, 3739, 7478, 14956, 18695, 37390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74776 and 74780. The biggest common factor number is the GCF number.
So the greatest common factor 74776 and 74780 is 4.

Also check out the Least Common Multiple of 74776 and 74780