What is the Greatest Common Factor of 69960 and 69971?

Greatest common factor (GCF) of 69960 and 69971 is 11.

GCF(69960,69971) = 11

We will now calculate the prime factors of 69960 and 69971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69960 and 69971.

How to find the GCF of 69960 and 69971?

We will first find the prime factorization of 69960 and 69971. After we will calculate the factors of 69960 and 69971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69971

Prime factors of 69971 are 11, 6361. Prime factorization of 69971 in exponential form is:

69971 = 11¹ × 6361¹

Step-3: Factors of 69960

List of positive integer factors of 69960 that divides 69960 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

Step-4: Factors of 69971

List of positive integer factors of 69971 that divides 69960 without a remainder.

1, 11, 6361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69960 and 69971. The biggest common factor number is the GCF number.
So the greatest common factor 69960 and 69971 is 11.

Also check out the Least Common Multiple of 69960 and 69971