What is the Greatest Common Factor of 10465 and 10472?

Greatest common factor (GCF) of 10465 and 10472 is 7.

GCF(10465,10472) = 7

We will now calculate the prime factors of 10465 and 10472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10465 and 10472.

How to find the GCF of 10465 and 10472?

We will first find the prime factorization of 10465 and 10472. After we will calculate the factors of 10465 and 10472 and find the biggest common factor number .

Step-1: Prime Factorization of 10465

Prime factors of 10465 are 5, 7, 13, 23. Prime factorization of 10465 in exponential form is:

10465 = 5¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 10472

Prime factors of 10472 are 2, 7, 11, 17. Prime factorization of 10472 in exponential form is:

10472 = 2³ × 7¹ × 11¹ × 17¹

Step-3: Factors of 10465

List of positive integer factors of 10465 that divides 10465 without a remainder.

1, 5, 7, 13, 23, 35, 65, 91, 115, 161, 299, 455, 805, 1495, 2093

Step-4: Factors of 10472

List of positive integer factors of 10472 that divides 10465 without a remainder.

1, 2, 4, 7, 8, 11, 14, 17, 22, 28, 34, 44, 56, 68, 77, 88, 119, 136, 154, 187, 238, 308, 374, 476, 616, 748, 952, 1309, 1496, 2618, 5236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10465 and 10472. The biggest common factor number is the GCF number.
So the greatest common factor 10465 and 10472 is 7.

Also check out the Least Common Multiple of 10465 and 10472