What is the Greatest Common Factor of 56490 and 56497?

Greatest common factor (GCF) of 56490 and 56497 is 7.

GCF(56490,56497) = 7

We will now calculate the prime factors of 56490 and 56497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56490 and 56497.

How to find the GCF of 56490 and 56497?

We will first find the prime factorization of 56490 and 56497. After we will calculate the factors of 56490 and 56497 and find the biggest common factor number .

Step-1: Prime Factorization of 56490

Prime factors of 56490 are 2, 3, 5, 7, 269. Prime factorization of 56490 in exponential form is:

56490 = 2¹ × 3¹ × 5¹ × 7¹ × 269¹

Step-2: Prime Factorization of 56497

Prime factors of 56497 are 7, 1153. Prime factorization of 56497 in exponential form is:

56497 = 7² × 1153¹

Step-3: Factors of 56490

List of positive integer factors of 56490 that divides 56490 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 269, 538, 807, 1345, 1614, 1883, 2690, 3766, 4035, 5649, 8070, 9415, 11298, 18830, 28245

Step-4: Factors of 56497

List of positive integer factors of 56497 that divides 56490 without a remainder.

1, 7, 49, 1153, 8071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56490 and 56497. The biggest common factor number is the GCF number.
So the greatest common factor 56490 and 56497 is 7.

Also check out the Least Common Multiple of 56490 and 56497