What is the Greatest Common Factor of 9514 and 9520?

Greatest common factor (GCF) of 9514 and 9520 is 2.

GCF(9514,9520) = 2

We will now calculate the prime factors of 9514 and 9520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9514 and 9520.

How to find the GCF of 9514 and 9520?

We will first find the prime factorization of 9514 and 9520. After we will calculate the factors of 9514 and 9520 and find the biggest common factor number .

Step-1: Prime Factorization of 9514

Prime factors of 9514 are 2, 67, 71. Prime factorization of 9514 in exponential form is:

9514 = 2¹ × 67¹ × 71¹

Step-2: Prime Factorization of 9520

Prime factors of 9520 are 2, 5, 7, 17. Prime factorization of 9520 in exponential form is:

9520 = 2⁴ × 5¹ × 7¹ × 17¹

Step-3: Factors of 9514

List of positive integer factors of 9514 that divides 9514 without a remainder.

1, 2, 67, 71, 134, 142, 4757

Step-4: Factors of 9520

List of positive integer factors of 9520 that divides 9514 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 34, 35, 40, 56, 68, 70, 80, 85, 112, 119, 136, 140, 170, 238, 272, 280, 340, 476, 560, 595, 680, 952, 1190, 1360, 1904, 2380, 4760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9514 and 9520. The biggest common factor number is the GCF number.
So the greatest common factor 9514 and 9520 is 2.

Also check out the Least Common Multiple of 9514 and 9520