What is the Greatest Common Factor of 69625 and 69642?

Greatest common factor (GCF) of 69625 and 69642 is 1.

GCF(69625,69642) = 1

We will now calculate the prime factors of 69625 and 69642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69625 and 69642.

How to find the GCF of 69625 and 69642?

We will first find the prime factorization of 69625 and 69642. After we will calculate the factors of 69625 and 69642 and find the biggest common factor number .

Step-1: Prime Factorization of 69625

Prime factors of 69625 are 5, 557. Prime factorization of 69625 in exponential form is:

69625 = 5³ × 557¹

Step-2: Prime Factorization of 69642

Prime factors of 69642 are 2, 3, 53, 73. Prime factorization of 69642 in exponential form is:

69642 = 2¹ × 3² × 53¹ × 73¹

Step-3: Factors of 69625

List of positive integer factors of 69625 that divides 69625 without a remainder.

1, 5, 25, 125, 557, 2785, 13925

Step-4: Factors of 69642

List of positive integer factors of 69642 that divides 69625 without a remainder.

1, 2, 3, 6, 9, 18, 53, 73, 106, 146, 159, 219, 318, 438, 477, 657, 954, 1314, 3869, 7738, 11607, 23214, 34821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69625 and 69642. The biggest common factor number is the GCF number.
So the greatest common factor 69625 and 69642 is 1.

Also check out the Least Common Multiple of 69625 and 69642