What is the Greatest Common Factor of 70974 and 70984?

Greatest common factor (GCF) of 70974 and 70984 is 2.

GCF(70974,70984) = 2

We will now calculate the prime factors of 70974 and 70984, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70974 and 70984.

How to find the GCF of 70974 and 70984?

We will first find the prime factorization of 70974 and 70984. After we will calculate the factors of 70974 and 70984 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 70984

Prime factors of 70984 are 2, 19, 467. Prime factorization of 70984 in exponential form is:

70984 = 2³ × 19¹ × 467¹

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 70984

List of positive integer factors of 70984 that divides 70974 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 467, 934, 1868, 3736, 8873, 17746, 35492

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70974 and 70984. The biggest common factor number is the GCF number.
So the greatest common factor 70974 and 70984 is 2.

Also check out the Least Common Multiple of 70974 and 70984