What is the Greatest Common Factor of 69052 and 69070?

Greatest common factor (GCF) of 69052 and 69070 is 2.

GCF(69052,69070) = 2

We will now calculate the prime factors of 69052 and 69070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69052 and 69070.

How to find the GCF of 69052 and 69070?

We will first find the prime factorization of 69052 and 69070. After we will calculate the factors of 69052 and 69070 and find the biggest common factor number .

Step-1: Prime Factorization of 69052

Prime factors of 69052 are 2, 61, 283. Prime factorization of 69052 in exponential form is:

69052 = 2² × 61¹ × 283¹

Step-2: Prime Factorization of 69070

Prime factors of 69070 are 2, 5, 6907. Prime factorization of 69070 in exponential form is:

69070 = 2¹ × 5¹ × 6907¹

Step-3: Factors of 69052

List of positive integer factors of 69052 that divides 69052 without a remainder.

1, 2, 4, 61, 122, 244, 283, 566, 1132, 17263, 34526

Step-4: Factors of 69070

List of positive integer factors of 69070 that divides 69052 without a remainder.

1, 2, 5, 10, 6907, 13814, 34535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69052 and 69070. The biggest common factor number is the GCF number.
So the greatest common factor 69052 and 69070 is 2.

Also check out the Least Common Multiple of 69052 and 69070