What is the Greatest Common Factor of 69941 and 69960?

Greatest common factor (GCF) of 69941 and 69960 is 1.

GCF(69941,69960) = 1

We will now calculate the prime factors of 69941 and 69960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69941 and 69960.

How to find the GCF of 69941 and 69960?

We will first find the prime factorization of 69941 and 69960. After we will calculate the factors of 69941 and 69960 and find the biggest common factor number .

Step-1: Prime Factorization of 69941

Prime factors of 69941 are 69941. Prime factorization of 69941 in exponential form is:

69941 = 69941¹

Step-2: Prime Factorization of 69960

Prime factors of 69960 are 2, 3, 5, 11, 53. Prime factorization of 69960 in exponential form is:

69960 = 2³ × 3¹ × 5¹ × 11¹ × 53¹

Step-3: Factors of 69941

List of positive integer factors of 69941 that divides 69941 without a remainder.

Step-4: Factors of 69960

List of positive integer factors of 69960 that divides 69941 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 53, 55, 60, 66, 88, 106, 110, 120, 132, 159, 165, 212, 220, 264, 265, 318, 330, 424, 440, 530, 583, 636, 660, 795, 1060, 1166, 1272, 1320, 1590, 1749, 2120, 2332, 2915, 3180, 3498, 4664, 5830, 6360, 6996, 8745, 11660, 13992, 17490, 23320, 34980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69941 and 69960. The biggest common factor number is the GCF number.
So the greatest common factor 69941 and 69960 is 1.

Also check out the Least Common Multiple of 69941 and 69960