What is the Greatest Common Factor of 73254 and 73262?

Greatest common factor (GCF) of 73254 and 73262 is 2.

GCF(73254,73262) = 2

We will now calculate the prime factors of 73254 and 73262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73254 and 73262.

How to find the GCF of 73254 and 73262?

We will first find the prime factorization of 73254 and 73262. After we will calculate the factors of 73254 and 73262 and find the biggest common factor number .

Step-1: Prime Factorization of 73254

Prime factors of 73254 are 2, 3, 29, 421. Prime factorization of 73254 in exponential form is:

73254 = 2¹ × 3¹ × 29¹ × 421¹

Step-2: Prime Factorization of 73262

Prime factors of 73262 are 2, 7, 5233. Prime factorization of 73262 in exponential form is:

73262 = 2¹ × 7¹ × 5233¹

Step-3: Factors of 73254

List of positive integer factors of 73254 that divides 73254 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 421, 842, 1263, 2526, 12209, 24418, 36627

Step-4: Factors of 73262

List of positive integer factors of 73262 that divides 73254 without a remainder.

1, 2, 7, 14, 5233, 10466, 36631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73254 and 73262. The biggest common factor number is the GCF number.
So the greatest common factor 73254 and 73262 is 2.

Also check out the Least Common Multiple of 73254 and 73262