What is the Greatest Common Factor of 10962 and 10969?

Greatest common factor (GCF) of 10962 and 10969 is 7.

GCF(10962,10969) = 7

We will now calculate the prime factors of 10962 and 10969, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10962 and 10969.

How to find the GCF of 10962 and 10969?

We will first find the prime factorization of 10962 and 10969. After we will calculate the factors of 10962 and 10969 and find the biggest common factor number .

Step-1: Prime Factorization of 10962

Prime factors of 10962 are 2, 3, 7, 29. Prime factorization of 10962 in exponential form is:

10962 = 2¹ × 3³ × 7¹ × 29¹

Step-2: Prime Factorization of 10969

Prime factors of 10969 are 7, 1567. Prime factorization of 10969 in exponential form is:

10969 = 7¹ × 1567¹

Step-3: Factors of 10962

List of positive integer factors of 10962 that divides 10962 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 29, 42, 54, 58, 63, 87, 126, 174, 189, 203, 261, 378, 406, 522, 609, 783, 1218, 1566, 1827, 3654, 5481

Step-4: Factors of 10969

List of positive integer factors of 10969 that divides 10962 without a remainder.

1, 7, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10962 and 10969. The biggest common factor number is the GCF number.
So the greatest common factor 10962 and 10969 is 7.

Also check out the Least Common Multiple of 10962 and 10969