What is the Greatest Common Factor of 64998 and 65003?

Greatest common factor (GCF) of 64998 and 65003 is 1.

GCF(64998,65003) = 1

We will now calculate the prime factors of 64998 and 65003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64998 and 65003.

How to find the GCF of 64998 and 65003?

We will first find the prime factorization of 64998 and 65003. After we will calculate the factors of 64998 and 65003 and find the biggest common factor number .

Step-1: Prime Factorization of 64998

Prime factors of 64998 are 2, 3, 23, 157. Prime factorization of 64998 in exponential form is:

64998 = 2¹ × 3² × 23¹ × 157¹

Step-2: Prime Factorization of 65003

Prime factors of 65003 are 65003. Prime factorization of 65003 in exponential form is:

65003 = 65003¹

Step-3: Factors of 64998

List of positive integer factors of 64998 that divides 64998 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 157, 207, 314, 414, 471, 942, 1413, 2826, 3611, 7222, 10833, 21666, 32499

Step-4: Factors of 65003

List of positive integer factors of 65003 that divides 64998 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64998 and 65003. The biggest common factor number is the GCF number.
So the greatest common factor 64998 and 65003 is 1.

Also check out the Least Common Multiple of 64998 and 65003