What is the Greatest Common Factor of 74748 and 74765?

Greatest common factor (GCF) of 74748 and 74765 is 1.

GCF(74748,74765) = 1

We will now calculate the prime factors of 74748 and 74765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74748 and 74765.

How to find the GCF of 74748 and 74765?

We will first find the prime factorization of 74748 and 74765. After we will calculate the factors of 74748 and 74765 and find the biggest common factor number .

Step-1: Prime Factorization of 74748

Prime factors of 74748 are 2, 3, 6229. Prime factorization of 74748 in exponential form is:

74748 = 2² × 3¹ × 6229¹

Step-2: Prime Factorization of 74765

Prime factors of 74765 are 5, 19, 787. Prime factorization of 74765 in exponential form is:

74765 = 5¹ × 19¹ × 787¹

Step-3: Factors of 74748

List of positive integer factors of 74748 that divides 74748 without a remainder.

1, 2, 3, 4, 6, 12, 6229, 12458, 18687, 24916, 37374

Step-4: Factors of 74765

List of positive integer factors of 74765 that divides 74748 without a remainder.

1, 5, 19, 95, 787, 3935, 14953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74748 and 74765. The biggest common factor number is the GCF number.
So the greatest common factor 74748 and 74765 is 1.

Also check out the Least Common Multiple of 74748 and 74765