What is the Greatest Common Factor of 74952 and 74972?

Greatest common factor (GCF) of 74952 and 74972 is 4.

GCF(74952,74972) = 4

We will now calculate the prime factors of 74952 and 74972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74952 and 74972.

How to find the GCF of 74952 and 74972?

We will first find the prime factorization of 74952 and 74972. After we will calculate the factors of 74952 and 74972 and find the biggest common factor number .

Step-1: Prime Factorization of 74952

Prime factors of 74952 are 2, 3, 347. Prime factorization of 74952 in exponential form is:

74952 = 2³ × 3³ × 347¹

Step-2: Prime Factorization of 74972

Prime factors of 74972 are 2, 18743. Prime factorization of 74972 in exponential form is:

74972 = 2² × 18743¹

Step-3: Factors of 74952

List of positive integer factors of 74952 that divides 74952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 347, 694, 1041, 1388, 2082, 2776, 3123, 4164, 6246, 8328, 9369, 12492, 18738, 24984, 37476

Step-4: Factors of 74972

List of positive integer factors of 74972 that divides 74952 without a remainder.

1, 2, 4, 18743, 37486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74952 and 74972. The biggest common factor number is the GCF number.
So the greatest common factor 74952 and 74972 is 4.

Also check out the Least Common Multiple of 74952 and 74972