What is the Greatest Common Factor of 70252 and 70264?

Greatest common factor (GCF) of 70252 and 70264 is 4.

GCF(70252,70264) = 4

We will now calculate the prime factors of 70252 and 70264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70252 and 70264.

How to find the GCF of 70252 and 70264?

We will first find the prime factorization of 70252 and 70264. After we will calculate the factors of 70252 and 70264 and find the biggest common factor number .

Step-1: Prime Factorization of 70252

Prime factors of 70252 are 2, 7, 13, 193. Prime factorization of 70252 in exponential form is:

70252 = 2² × 7¹ × 13¹ × 193¹

Step-2: Prime Factorization of 70264

Prime factors of 70264 are 2, 8783. Prime factorization of 70264 in exponential form is:

70264 = 2³ × 8783¹

Step-3: Factors of 70252

List of positive integer factors of 70252 that divides 70252 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 193, 364, 386, 772, 1351, 2509, 2702, 5018, 5404, 10036, 17563, 35126

Step-4: Factors of 70264

List of positive integer factors of 70264 that divides 70252 without a remainder.

1, 2, 4, 8, 8783, 17566, 35132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70252 and 70264. The biggest common factor number is the GCF number.
So the greatest common factor 70252 and 70264 is 4.

Also check out the Least Common Multiple of 70252 and 70264