What is the Greatest Common Factor of 83560 and 83570?

Greatest common factor (GCF) of 83560 and 83570 is 10.

GCF(83560,83570) = 10

We will now calculate the prime factors of 83560 and 83570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83560 and 83570.

How to find the GCF of 83560 and 83570?

We will first find the prime factorization of 83560 and 83570. After we will calculate the factors of 83560 and 83570 and find the biggest common factor number .

Step-1: Prime Factorization of 83560

Prime factors of 83560 are 2, 5, 2089. Prime factorization of 83560 in exponential form is:

83560 = 2³ × 5¹ × 2089¹

Step-2: Prime Factorization of 83570

Prime factors of 83570 are 2, 5, 61, 137. Prime factorization of 83570 in exponential form is:

83570 = 2¹ × 5¹ × 61¹ × 137¹

Step-3: Factors of 83560

List of positive integer factors of 83560 that divides 83560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2089, 4178, 8356, 10445, 16712, 20890, 41780

Step-4: Factors of 83570

List of positive integer factors of 83570 that divides 83560 without a remainder.

1, 2, 5, 10, 61, 122, 137, 274, 305, 610, 685, 1370, 8357, 16714, 41785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83560 and 83570. The biggest common factor number is the GCF number.
So the greatest common factor 83560 and 83570 is 10.

Also check out the Least Common Multiple of 83560 and 83570