What is the Greatest Common Factor of 70320 and 70324?
Greatest common factor (GCF) of 70320 and 70324 is 4.
GCF(70320,70324) = 4
We will now calculate the prime factors of 70320 and 70324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70320 and 70324.
How to find the GCF of 70320 and 70324?
We will first find the prime factorization of 70320 and 70324. After we will calculate the factors of 70320 and 70324 and find the biggest common factor number .
Step-1: Prime Factorization of 70320
Prime factors of 70320 are 2, 3, 5, 293. Prime factorization of 70320 in exponential form is:
70320 = 24 × 31 × 51 × 2931
Step-2: Prime Factorization of 70324
Prime factors of 70324 are 2, 17581. Prime factorization of 70324 in exponential form is:
70324 = 22 × 175811
Step-3: Factors of 70320
List of positive integer factors of 70320 that divides 70320 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 293, 586, 879, 1172, 1465, 1758, 2344, 2930, 3516, 4395, 4688, 5860, 7032, 8790, 11720, 14064, 17580, 23440, 35160
Step-4: Factors of 70324
List of positive integer factors of 70324 that divides 70320 without a remainder.
1, 2, 4, 17581, 35162
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70320 and 70324. The biggest common factor number is the GCF number.
So the greatest common factor 70320 and 70324 is 4.
Also check out the Least Common Multiple of 70320 and 70324
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Related Greatest Common Factors of 70324
- GCF of 70324 and 70328
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