What is the Greatest Common Factor of 70152 and 70167?

Greatest common factor (GCF) of 70152 and 70167 is 3.

GCF(70152,70167) = 3

We will now calculate the prime factors of 70152 and 70167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70152 and 70167.

How to find the GCF of 70152 and 70167?

We will first find the prime factorization of 70152 and 70167. After we will calculate the factors of 70152 and 70167 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70167

Prime factors of 70167 are 3, 19, 1231. Prime factorization of 70167 in exponential form is:

70167 = 3¹ × 19¹ × 1231¹

Step-3: Factors of 70152

List of positive integer factors of 70152 that divides 70152 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

Step-4: Factors of 70167

List of positive integer factors of 70167 that divides 70152 without a remainder.

1, 3, 19, 57, 1231, 3693, 23389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70152 and 70167. The biggest common factor number is the GCF number.
So the greatest common factor 70152 and 70167 is 3.

Also check out the Least Common Multiple of 70152 and 70167