What is the Greatest Common Factor of 73100 and 73114?

Greatest common factor (GCF) of 73100 and 73114 is 2.

GCF(73100,73114) = 2

We will now calculate the prime factors of 73100 and 73114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73100 and 73114.

How to find the GCF of 73100 and 73114?

We will first find the prime factorization of 73100 and 73114. After we will calculate the factors of 73100 and 73114 and find the biggest common factor number .

Step-1: Prime Factorization of 73100

Prime factors of 73100 are 2, 5, 17, 43. Prime factorization of 73100 in exponential form is:

73100 = 2² × 5² × 17¹ × 43¹

Step-2: Prime Factorization of 73114

Prime factors of 73114 are 2, 139, 263. Prime factorization of 73114 in exponential form is:

73114 = 2¹ × 139¹ × 263¹

Step-3: Factors of 73100

List of positive integer factors of 73100 that divides 73100 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 43, 50, 68, 85, 86, 100, 170, 172, 215, 340, 425, 430, 731, 850, 860, 1075, 1462, 1700, 2150, 2924, 3655, 4300, 7310, 14620, 18275, 36550

Step-4: Factors of 73114

List of positive integer factors of 73114 that divides 73100 without a remainder.

1, 2, 139, 263, 278, 526, 36557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73100 and 73114. The biggest common factor number is the GCF number.
So the greatest common factor 73100 and 73114 is 2.

Also check out the Least Common Multiple of 73100 and 73114