What is the Greatest Common Factor of 63562 and 63574?

Greatest common factor (GCF) of 63562 and 63574 is 2.

GCF(63562,63574) = 2

We will now calculate the prime factors of 63562 and 63574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63562 and 63574.

How to find the GCF of 63562 and 63574?

We will first find the prime factorization of 63562 and 63574. After we will calculate the factors of 63562 and 63574 and find the biggest common factor number .

Step-1: Prime Factorization of 63562

Prime factors of 63562 are 2, 61, 521. Prime factorization of 63562 in exponential form is:

63562 = 2¹ × 61¹ × 521¹

Step-2: Prime Factorization of 63574

Prime factors of 63574 are 2, 7, 19, 239. Prime factorization of 63574 in exponential form is:

63574 = 2¹ × 7¹ × 19¹ × 239¹

Step-3: Factors of 63562

List of positive integer factors of 63562 that divides 63562 without a remainder.

1, 2, 61, 122, 521, 1042, 31781

Step-4: Factors of 63574

List of positive integer factors of 63574 that divides 63562 without a remainder.

1, 2, 7, 14, 19, 38, 133, 239, 266, 478, 1673, 3346, 4541, 9082, 31787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63562 and 63574. The biggest common factor number is the GCF number.
So the greatest common factor 63562 and 63574 is 2.

Also check out the Least Common Multiple of 63562 and 63574