What is the Greatest Common Factor of 87570 and 87590?

Greatest common factor (GCF) of 87570 and 87590 is 10.

GCF(87570,87590) = 10

We will now calculate the prime factors of 87570 and 87590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87570 and 87590.

How to find the GCF of 87570 and 87590?

We will first find the prime factorization of 87570 and 87590. After we will calculate the factors of 87570 and 87590 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87590

Prime factors of 87590 are 2, 5, 19, 461. Prime factorization of 87590 in exponential form is:

87590 = 2¹ × 5¹ × 19¹ × 461¹

Step-3: Factors of 87570

List of positive integer factors of 87570 that divides 87570 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

Step-4: Factors of 87590

List of positive integer factors of 87590 that divides 87570 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 461, 922, 2305, 4610, 8759, 17518, 43795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87570 and 87590. The biggest common factor number is the GCF number.
So the greatest common factor 87570 and 87590 is 10.

Also check out the Least Common Multiple of 87570 and 87590