What is the Greatest Common Factor of 70956 and 70974?

Greatest common factor (GCF) of 70956 and 70974 is 18.

GCF(70956,70974) = 18

We will now calculate the prime factors of 70956 and 70974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70956 and 70974.

How to find the GCF of 70956 and 70974?

We will first find the prime factorization of 70956 and 70974. After we will calculate the factors of 70956 and 70974 and find the biggest common factor number .

Step-1: Prime Factorization of 70956

Prime factors of 70956 are 2, 3, 73. Prime factorization of 70956 in exponential form is:

70956 = 2² × 3⁵ × 73¹

Step-2: 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-3: Factors of 70956

List of positive integer factors of 70956 that divides 70956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 81, 108, 146, 162, 219, 243, 292, 324, 438, 486, 657, 876, 972, 1314, 1971, 2628, 3942, 5913, 7884, 11826, 17739, 23652, 35478

Step-4: Factors of 70974

List of positive integer factors of 70974 that divides 70956 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70956 and 70974. The biggest common factor number is the GCF number.
So the greatest common factor 70956 and 70974 is 18.

Also check out the Least Common Multiple of 70956 and 70974