What is the Greatest Common Factor of 70236 and 70252?

Greatest common factor (GCF) of 70236 and 70252 is 4.

GCF(70236,70252) = 4

We will now calculate the prime factors of 70236 and 70252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70236 and 70252.

How to find the GCF of 70236 and 70252?

We will first find the prime factorization of 70236 and 70252. After we will calculate the factors of 70236 and 70252 and find the biggest common factor number .

Step-1: Prime Factorization of 70236

Prime factors of 70236 are 2, 3, 1951. Prime factorization of 70236 in exponential form is:

70236 = 2² × 3² × 1951¹

Step-2: 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-3: Factors of 70236

List of positive integer factors of 70236 that divides 70236 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1951, 3902, 5853, 7804, 11706, 17559, 23412, 35118

Step-4: Factors of 70252

List of positive integer factors of 70252 that divides 70236 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70236 and 70252. The biggest common factor number is the GCF number.
So the greatest common factor 70236 and 70252 is 4.

Also check out the Least Common Multiple of 70236 and 70252