What is the Greatest Common Factor of 70340 and 70358?
Greatest common factor (GCF) of 70340 and 70358 is 2.
GCF(70340,70358) = 2
We will now calculate the prime factors of 70340 and 70358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70340 and 70358.
How to find the GCF of 70340 and 70358?
We will first find the prime factorization of 70340 and 70358. After we will calculate the factors of 70340 and 70358 and find the biggest common factor number .
Step-1: Prime Factorization of 70340
Prime factors of 70340 are 2, 5, 3517. Prime factorization of 70340 in exponential form is:
70340 = 22 × 51 × 35171
Step-2: Prime Factorization of 70358
Prime factors of 70358 are 2, 127, 277. Prime factorization of 70358 in exponential form is:
70358 = 21 × 1271 × 2771
Step-3: Factors of 70340
List of positive integer factors of 70340 that divides 70340 without a remainder.
1, 2, 4, 5, 10, 20, 3517, 7034, 14068, 17585, 35170
Step-4: Factors of 70358
List of positive integer factors of 70358 that divides 70340 without a remainder.
1, 2, 127, 254, 277, 554, 35179
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 70340 and 70358. The biggest common factor number is the GCF number.
So the greatest common factor 70340 and 70358 is 2.
Also check out the Least Common Multiple of 70340 and 70358
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