What is the Greatest Common Factor of 69901 and 69920?

Greatest common factor (GCF) of 69901 and 69920 is 19.

GCF(69901,69920) = 19

We will now calculate the prime factors of 69901 and 69920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69901 and 69920.

How to find the GCF of 69901 and 69920?

We will first find the prime factorization of 69901 and 69920. After we will calculate the factors of 69901 and 69920 and find the biggest common factor number .

Step-1: Prime Factorization of 69901

Prime factors of 69901 are 13, 19, 283. Prime factorization of 69901 in exponential form is:

69901 = 13¹ × 19¹ × 283¹

Step-2: 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-3: Factors of 69901

List of positive integer factors of 69901 that divides 69901 without a remainder.

1, 13, 19, 247, 283, 3679, 5377

Step-4: Factors of 69920

List of positive integer factors of 69920 that divides 69901 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69901 and 69920. The biggest common factor number is the GCF number.
So the greatest common factor 69901 and 69920 is 19.

Also check out the Least Common Multiple of 69901 and 69920