What is the Greatest Common Factor of 69622 and 69626?

Greatest common factor (GCF) of 69622 and 69626 is 2.

GCF(69622,69626) = 2

We will now calculate the prime factors of 69622 and 69626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69622 and 69626.

How to find the GCF of 69622 and 69626?

We will first find the prime factorization of 69622 and 69626. After we will calculate the factors of 69622 and 69626 and find the biggest common factor number .

Step-1: Prime Factorization of 69622

Prime factors of 69622 are 2, 7, 4973. Prime factorization of 69622 in exponential form is:

69622 = 2¹ × 7¹ × 4973¹

Step-2: Prime Factorization of 69626

Prime factors of 69626 are 2, 31, 1123. Prime factorization of 69626 in exponential form is:

69626 = 2¹ × 31¹ × 1123¹

Step-3: Factors of 69622

List of positive integer factors of 69622 that divides 69622 without a remainder.

1, 2, 7, 14, 4973, 9946, 34811

Step-4: Factors of 69626

List of positive integer factors of 69626 that divides 69622 without a remainder.

1, 2, 31, 62, 1123, 2246, 34813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69622 and 69626. The biggest common factor number is the GCF number.
So the greatest common factor 69622 and 69626 is 2.

Also check out the Least Common Multiple of 69622 and 69626