What is the Greatest Common Factor of 87563 and 87570?

Greatest common factor (GCF) of 87563 and 87570 is 7.

GCF(87563,87570) = 7

We will now calculate the prime factors of 87563 and 87570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87563 and 87570.

How to find the GCF of 87563 and 87570?

We will first find the prime factorization of 87563 and 87570. After we will calculate the factors of 87563 and 87570 and find the biggest common factor number .

Step-1: Prime Factorization of 87563

Prime factors of 87563 are 7, 1787. Prime factorization of 87563 in exponential form is:

87563 = 7² × 1787¹

Step-2: Prime Factorization of 87570

Prime factors of 87570 are 2, 3, 5, 7, 139. Prime factorization of 87570 in exponential form is:

87570 = 2¹ × 3² × 5¹ × 7¹ × 139¹

Step-3: Factors of 87563

List of positive integer factors of 87563 that divides 87563 without a remainder.

1, 7, 49, 1787, 12509

Step-4: Factors of 87570

List of positive integer factors of 87570 that divides 87563 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 139, 210, 278, 315, 417, 630, 695, 834, 973, 1251, 1390, 1946, 2085, 2502, 2919, 4170, 4865, 5838, 6255, 8757, 9730, 12510, 14595, 17514, 29190, 43785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87563 and 87570. The biggest common factor number is the GCF number.
So the greatest common factor 87563 and 87570 is 7.

Also check out the Least Common Multiple of 87563 and 87570