What is the Greatest Common Factor of 70365 and 70372?

Greatest common factor (GCF) of 70365 and 70372 is 1.

GCF(70365,70372) = 1

We will now calculate the prime factors of 70365 and 70372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70365 and 70372.

How to find the GCF of 70365 and 70372?

We will first find the prime factorization of 70365 and 70372. After we will calculate the factors of 70365 and 70372 and find the biggest common factor number .

Step-1: Prime Factorization of 70365

Prime factors of 70365 are 3, 5, 4691. Prime factorization of 70365 in exponential form is:

70365 = 3¹ × 5¹ × 4691¹

Step-2: Prime Factorization of 70372

Prime factors of 70372 are 2, 73, 241. Prime factorization of 70372 in exponential form is:

70372 = 2² × 73¹ × 241¹

Step-3: Factors of 70365

List of positive integer factors of 70365 that divides 70365 without a remainder.

1, 3, 5, 15, 4691, 14073, 23455

Step-4: Factors of 70372

List of positive integer factors of 70372 that divides 70365 without a remainder.

1, 2, 4, 73, 146, 241, 292, 482, 964, 17593, 35186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70365 and 70372. The biggest common factor number is the GCF number.
So the greatest common factor 70365 and 70372 is 1.

Also check out the Least Common Multiple of 70365 and 70372