What is the Greatest Common Factor of 70254 and 70265?

Greatest common factor (GCF) of 70254 and 70265 is 1.

GCF(70254,70265) = 1

We will now calculate the prime factors of 70254 and 70265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70254 and 70265.

How to find the GCF of 70254 and 70265?

We will first find the prime factorization of 70254 and 70265. After we will calculate the factors of 70254 and 70265 and find the biggest common factor number .

Step-1: Prime Factorization of 70254

Prime factors of 70254 are 2, 3, 1301. Prime factorization of 70254 in exponential form is:

70254 = 2¹ × 3³ × 1301¹

Step-2: Prime Factorization of 70265

Prime factors of 70265 are 5, 13, 23, 47. Prime factorization of 70265 in exponential form is:

70265 = 5¹ × 13¹ × 23¹ × 47¹

Step-3: Factors of 70254

List of positive integer factors of 70254 that divides 70254 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1301, 2602, 3903, 7806, 11709, 23418, 35127

Step-4: Factors of 70265

List of positive integer factors of 70265 that divides 70254 without a remainder.

1, 5, 13, 23, 47, 65, 115, 235, 299, 611, 1081, 1495, 3055, 5405, 14053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70254 and 70265. The biggest common factor number is the GCF number.
So the greatest common factor 70254 and 70265 is 1.

Also check out the Least Common Multiple of 70254 and 70265