What is the Greatest Common Factor of 69480 and 69490?

Greatest common factor (GCF) of 69480 and 69490 is 10.

GCF(69480,69490) = 10

We will now calculate the prime factors of 69480 and 69490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69480 and 69490.

How to find the GCF of 69480 and 69490?

We will first find the prime factorization of 69480 and 69490. After we will calculate the factors of 69480 and 69490 and find the biggest common factor number .

Step-1: Prime Factorization of 69480

Prime factors of 69480 are 2, 3, 5, 193. Prime factorization of 69480 in exponential form is:

69480 = 2³ × 3² × 5¹ × 193¹

Step-2: Prime Factorization of 69490

Prime factors of 69490 are 2, 5, 6949. Prime factorization of 69490 in exponential form is:

69490 = 2¹ × 5¹ × 6949¹

Step-3: Factors of 69480

List of positive integer factors of 69480 that divides 69480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 193, 360, 386, 579, 772, 965, 1158, 1544, 1737, 1930, 2316, 2895, 3474, 3860, 4632, 5790, 6948, 7720, 8685, 11580, 13896, 17370, 23160, 34740

Step-4: Factors of 69490

List of positive integer factors of 69490 that divides 69480 without a remainder.

1, 2, 5, 10, 6949, 13898, 34745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69480 and 69490. The biggest common factor number is the GCF number.
So the greatest common factor 69480 and 69490 is 10.

Also check out the Least Common Multiple of 69480 and 69490