What is the Greatest Common Factor of 70960 and 70972?

Greatest common factor (GCF) of 70960 and 70972 is 4.

GCF(70960,70972) = 4

We will now calculate the prime factors of 70960 and 70972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70960 and 70972.

How to find the GCF of 70960 and 70972?

We will first find the prime factorization of 70960 and 70972. After we will calculate the factors of 70960 and 70972 and find the biggest common factor number .

Step-1: Prime Factorization of 70960

Prime factors of 70960 are 2, 5, 887. Prime factorization of 70960 in exponential form is:

70960 = 2⁴ × 5¹ × 887¹

Step-2: Prime Factorization of 70972

Prime factors of 70972 are 2, 11, 1613. Prime factorization of 70972 in exponential form is:

70972 = 2² × 11¹ × 1613¹

Step-3: Factors of 70960

List of positive integer factors of 70960 that divides 70960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 887, 1774, 3548, 4435, 7096, 8870, 14192, 17740, 35480

Step-4: Factors of 70972

List of positive integer factors of 70972 that divides 70960 without a remainder.

1, 2, 4, 11, 22, 44, 1613, 3226, 6452, 17743, 35486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70960 and 70972. The biggest common factor number is the GCF number.
So the greatest common factor 70960 and 70972 is 4.

Also check out the Least Common Multiple of 70960 and 70972