What is the Greatest Common Factor of 10485 and 10502?

Greatest common factor (GCF) of 10485 and 10502 is 1.

GCF(10485,10502) = 1

We will now calculate the prime factors of 10485 and 10502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10485 and 10502.

How to find the GCF of 10485 and 10502?

We will first find the prime factorization of 10485 and 10502. After we will calculate the factors of 10485 and 10502 and find the biggest common factor number .

Step-1: Prime Factorization of 10485

Prime factors of 10485 are 3, 5, 233. Prime factorization of 10485 in exponential form is:

10485 = 3² × 5¹ × 233¹

Step-2: Prime Factorization of 10502

Prime factors of 10502 are 2, 59, 89. Prime factorization of 10502 in exponential form is:

10502 = 2¹ × 59¹ × 89¹

Step-3: Factors of 10485

List of positive integer factors of 10485 that divides 10485 without a remainder.

1, 3, 5, 9, 15, 45, 233, 699, 1165, 2097, 3495

Step-4: Factors of 10502

List of positive integer factors of 10502 that divides 10485 without a remainder.

1, 2, 59, 89, 118, 178, 5251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10485 and 10502. The biggest common factor number is the GCF number.
So the greatest common factor 10485 and 10502 is 1.

Also check out the Least Common Multiple of 10485 and 10502