What is the Greatest Common Factor of 70140 and 70152?

Greatest common factor (GCF) of 70140 and 70152 is 12.

GCF(70140,70152) = 12

We will now calculate the prime factors of 70140 and 70152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70140 and 70152.

How to find the GCF of 70140 and 70152?

We will first find the prime factorization of 70140 and 70152. After we will calculate the factors of 70140 and 70152 and find the biggest common factor number .

Step-1: Prime Factorization of 70140

Prime factors of 70140 are 2, 3, 5, 7, 167. Prime factorization of 70140 in exponential form is:

70140 = 2² × 3¹ × 5¹ × 7¹ × 167¹

Step-2: Prime Factorization of 70152

Prime factors of 70152 are 2, 3, 37, 79. Prime factorization of 70152 in exponential form is:

70152 = 2³ × 3¹ × 37¹ × 79¹

Step-3: Factors of 70140

List of positive integer factors of 70140 that divides 70140 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 167, 210, 334, 420, 501, 668, 835, 1002, 1169, 1670, 2004, 2338, 2505, 3340, 3507, 4676, 5010, 5845, 7014, 10020, 11690, 14028, 17535, 23380, 35070

Step-4: Factors of 70152

List of positive integer factors of 70152 that divides 70140 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 79, 111, 148, 158, 222, 237, 296, 316, 444, 474, 632, 888, 948, 1896, 2923, 5846, 8769, 11692, 17538, 23384, 35076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70140 and 70152. The biggest common factor number is the GCF number.
So the greatest common factor 70140 and 70152 is 12.

Also check out the Least Common Multiple of 70140 and 70152