What is the Greatest Common Factor of 69629 and 69648?

Greatest common factor (GCF) of 69629 and 69648 is 1.

GCF(69629,69648) = 1

We will now calculate the prime factors of 69629 and 69648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69629 and 69648.

How to find the GCF of 69629 and 69648?

We will first find the prime factorization of 69629 and 69648. After we will calculate the factors of 69629 and 69648 and find the biggest common factor number .

Step-1: Prime Factorization of 69629

Prime factors of 69629 are 7, 29. Prime factorization of 69629 in exponential form is:

69629 = 7⁴ × 29¹

Step-2: Prime Factorization of 69648

Prime factors of 69648 are 2, 3, 1451. Prime factorization of 69648 in exponential form is:

69648 = 2⁴ × 3¹ × 1451¹

Step-3: Factors of 69629

List of positive integer factors of 69629 that divides 69629 without a remainder.

1, 7, 29, 49, 203, 343, 1421, 2401, 9947

Step-4: Factors of 69648

List of positive integer factors of 69648 that divides 69629 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1451, 2902, 4353, 5804, 8706, 11608, 17412, 23216, 34824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69629 and 69648. The biggest common factor number is the GCF number.
So the greatest common factor 69629 and 69648 is 1.

Also check out the Least Common Multiple of 69629 and 69648