What is the Greatest Common Factor of 70966 and 70972?

Greatest common factor (GCF) of 70966 and 70972 is 2.

GCF(70966,70972) = 2

We will now calculate the prime factors of 70966 and 70972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70966 and 70972.

How to find the GCF of 70966 and 70972?

We will first find the prime factorization of 70966 and 70972. After we will calculate the factors of 70966 and 70972 and find the biggest common factor number .

Step-1: Prime Factorization of 70966

Prime factors of 70966 are 2, 7, 37, 137. Prime factorization of 70966 in exponential form is:

70966 = 2¹ × 7¹ × 37¹ × 137¹

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 70966

List of positive integer factors of 70966 that divides 70966 without a remainder.

1, 2, 7, 14, 37, 74, 137, 259, 274, 518, 959, 1918, 5069, 10138, 35483

Step-4: Factors of 70972

List of positive integer factors of 70972 that divides 70966 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 70966 and 70972. The biggest common factor number is the GCF number.
So the greatest common factor 70966 and 70972 is 2.

Also check out the Least Common Multiple of 70966 and 70972