What is the Greatest Common Factor of 69940 and 69960?

Greatest common factor (GCF) of 69940 and 69960 is 20.

GCF(69940,69960) = 20

We will now calculate the prime factors of 69940 and 69960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69940 and 69960.

How to find the GCF of 69940 and 69960?

We will first find the prime factorization of 69940 and 69960. After we will calculate the factors of 69940 and 69960 and find the biggest common factor number .

Step-1: Prime Factorization of 69940

Prime factors of 69940 are 2, 5, 13, 269. Prime factorization of 69940 in exponential form is:

69940 = 2² × 5¹ × 13¹ × 269¹

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 69940

List of positive integer factors of 69940 that divides 69940 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 269, 538, 1076, 1345, 2690, 3497, 5380, 6994, 13988, 17485, 34970

Step-4: Factors of 69960

List of positive integer factors of 69960 that divides 69940 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 69940 and 69960. The biggest common factor number is the GCF number.
So the greatest common factor 69940 and 69960 is 20.

Also check out the Least Common Multiple of 69940 and 69960