What is the Greatest Common Factor of 10492 and 10507?

Greatest common factor (GCF) of 10492 and 10507 is 1.

GCF(10492,10507) = 1

We will now calculate the prime factors of 10492 and 10507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10492 and 10507.

How to find the GCF of 10492 and 10507?

We will first find the prime factorization of 10492 and 10507. After we will calculate the factors of 10492 and 10507 and find the biggest common factor number .

Step-1: Prime Factorization of 10492

Prime factors of 10492 are 2, 43, 61. Prime factorization of 10492 in exponential form is:

10492 = 2² × 43¹ × 61¹

Step-2: Prime Factorization of 10507

Prime factors of 10507 are 7, 19, 79. Prime factorization of 10507 in exponential form is:

10507 = 7¹ × 19¹ × 79¹

Step-3: Factors of 10492

List of positive integer factors of 10492 that divides 10492 without a remainder.

1, 2, 4, 43, 61, 86, 122, 172, 244, 2623, 5246

Step-4: Factors of 10507

List of positive integer factors of 10507 that divides 10492 without a remainder.

1, 7, 19, 79, 133, 553, 1501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10492 and 10507. The biggest common factor number is the GCF number.
So the greatest common factor 10492 and 10507 is 1.

Also check out the Least Common Multiple of 10492 and 10507