What is the Greatest Common Factor of 69920 and 69929?

Greatest common factor (GCF) of 69920 and 69929 is 1.

GCF(69920,69929) = 1

We will now calculate the prime factors of 69920 and 69929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69920 and 69929.

How to find the GCF of 69920 and 69929?

We will first find the prime factorization of 69920 and 69929. After we will calculate the factors of 69920 and 69929 and find the biggest common factor number .

Step-1: Prime Factorization of 69920

Prime factors of 69920 are 2, 5, 19, 23. Prime factorization of 69920 in exponential form is:

69920 = 2⁵ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 69929

Prime factors of 69929 are 69929. Prime factorization of 69929 in exponential form is:

69929 = 69929¹

Step-3: Factors of 69920

List of positive integer factors of 69920 that divides 69920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 23, 32, 38, 40, 46, 76, 80, 92, 95, 115, 152, 160, 184, 190, 230, 304, 368, 380, 437, 460, 608, 736, 760, 874, 920, 1520, 1748, 1840, 2185, 3040, 3496, 3680, 4370, 6992, 8740, 13984, 17480, 34960

Step-4: Factors of 69929

List of positive integer factors of 69929 that divides 69920 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69920 and 69929. The biggest common factor number is the GCF number.
So the greatest common factor 69920 and 69929 is 1.

Also check out the Least Common Multiple of 69920 and 69929