What is the Greatest Common Factor of 89952 and 89970?

Greatest common factor (GCF) of 89952 and 89970 is 6.

GCF(89952,89970) = 6

We will now calculate the prime factors of 89952 and 89970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89952 and 89970.

How to find the GCF of 89952 and 89970?

We will first find the prime factorization of 89952 and 89970. After we will calculate the factors of 89952 and 89970 and find the biggest common factor number .

Step-1: Prime Factorization of 89952

Prime factors of 89952 are 2, 3, 937. Prime factorization of 89952 in exponential form is:

89952 = 2⁵ × 3¹ × 937¹

Step-2: Prime Factorization of 89970

Prime factors of 89970 are 2, 3, 5, 2999. Prime factorization of 89970 in exponential form is:

89970 = 2¹ × 3¹ × 5¹ × 2999¹

Step-3: Factors of 89952

List of positive integer factors of 89952 that divides 89952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 937, 1874, 2811, 3748, 5622, 7496, 11244, 14992, 22488, 29984, 44976

Step-4: Factors of 89970

List of positive integer factors of 89970 that divides 89952 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2999, 5998, 8997, 14995, 17994, 29990, 44985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89952 and 89970. The biggest common factor number is the GCF number.
So the greatest common factor 89952 and 89970 is 6.

Also check out the Least Common Multiple of 89952 and 89970