What is the Greatest Common Factor of 69608 and 69622?

Greatest common factor (GCF) of 69608 and 69622 is 14.

GCF(69608,69622) = 14

We will now calculate the prime factors of 69608 and 69622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69608 and 69622.

How to find the GCF of 69608 and 69622?

We will first find the prime factorization of 69608 and 69622. After we will calculate the factors of 69608 and 69622 and find the biggest common factor number .

Step-1: Prime Factorization of 69608

Prime factors of 69608 are 2, 7, 11, 113. Prime factorization of 69608 in exponential form is:

69608 = 2³ × 7¹ × 11¹ × 113¹

Step-2: 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-3: Factors of 69608

List of positive integer factors of 69608 that divides 69608 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 113, 154, 226, 308, 452, 616, 791, 904, 1243, 1582, 2486, 3164, 4972, 6328, 8701, 9944, 17402, 34804

Step-4: Factors of 69622

List of positive integer factors of 69622 that divides 69608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69608 and 69622. The biggest common factor number is the GCF number.
So the greatest common factor 69608 and 69622 is 14.

Also check out the Least Common Multiple of 69608 and 69622