What is the Greatest Common Factor of 70974 and 70982?

Greatest common factor (GCF) of 70974 and 70982 is 2.

GCF(70974,70982) = 2

We will now calculate the prime factors of 70974 and 70982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70974 and 70982.

How to find the GCF of 70974 and 70982?

We will first find the prime factorization of 70974 and 70982. After we will calculate the factors of 70974 and 70982 and find the biggest common factor number .

Step-1: Prime Factorization of 70974

Prime factors of 70974 are 2, 3, 3943. Prime factorization of 70974 in exponential form is:

70974 = 2¹ × 3² × 3943¹

Step-2: Prime Factorization of 70982

Prime factors of 70982 are 2, 35491. Prime factorization of 70982 in exponential form is:

70982 = 2¹ × 35491¹

Step-3: Factors of 70974

List of positive integer factors of 70974 that divides 70974 without a remainder.

1, 2, 3, 6, 9, 18, 3943, 7886, 11829, 23658, 35487

Step-4: Factors of 70982

List of positive integer factors of 70982 that divides 70974 without a remainder.

1, 2, 35491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70974 and 70982. The biggest common factor number is the GCF number.
So the greatest common factor 70974 and 70982 is 2.

Also check out the Least Common Multiple of 70974 and 70982