What is the Greatest Common Factor of 69072 and 69082?

Greatest common factor (GCF) of 69072 and 69082 is 2.

GCF(69072,69082) = 2

We will now calculate the prime factors of 69072 and 69082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69072 and 69082.

How to find the GCF of 69072 and 69082?

We will first find the prime factorization of 69072 and 69082. After we will calculate the factors of 69072 and 69082 and find the biggest common factor number .

Step-1: Prime Factorization of 69072

Prime factors of 69072 are 2, 3, 1439. Prime factorization of 69072 in exponential form is:

69072 = 2⁴ × 3¹ × 1439¹

Step-2: Prime Factorization of 69082

Prime factors of 69082 are 2, 13, 2657. Prime factorization of 69082 in exponential form is:

69082 = 2¹ × 13¹ × 2657¹

Step-3: Factors of 69072

List of positive integer factors of 69072 that divides 69072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1439, 2878, 4317, 5756, 8634, 11512, 17268, 23024, 34536

Step-4: Factors of 69082

List of positive integer factors of 69082 that divides 69072 without a remainder.

1, 2, 13, 26, 2657, 5314, 34541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69072 and 69082. The biggest common factor number is the GCF number.
So the greatest common factor 69072 and 69082 is 2.

Also check out the Least Common Multiple of 69072 and 69082